Boyfriend doesn't invite me to family functions/rant

So me and my boyfriend have been together for almost a year and I have noticed he never invites me to family functions and I'm starting to get a little curious as to why he doesn't. So a few weeks ago me and my boyfriend were over at his moms house and she had asked us if we were going to his cousins farewell speech in a couple of sundays and if we were, just to ride down with his brother and girlfriend. He had told her he wasn't sure because he had to see if he could get the day off. After that we hadn't talked about it for awhile until today he asked me if he could use my car to drive to the farewell (which is four hours away) (also he asked to use mine because he doesn't like taking his car far places and needs new tires and all that stuff). I said um yeah sure. We kept talking and he said he had to leave at this time and blah blah blah basically telling me that he's going and not me but in a discrete way. And so that's when I started to notice that he never wants me to go to any family events. Mind you I'm 29 weeks pregnant so I think it's kind of weird that he doesn't take his pregnant girlfriend to family events. Anyways for example his mother texted me the night before Mother's Day and asked me and my boyfriend to come to breakfast the next morning for Mother's Day and I told my boyfriend that I didn't know what to say because he works every Sunday and I thought he wasn't even gonna go. Well he replied with "tell her I'll be there and that you won't make it and just make an excuse". So I did because I didn't want to just go if my boyfriend didn't want me there. And then again at his moms wedding he kept talking about it and that all of his siblings were bringing their significant other and I was like oh okay didn't think anything of it because it's his moms wedding and maybe she doesn't want me to go. Until we got the invite in the mail and it had both our names on it and she started texting me what kind of colors she's doing so i can be in pictures. He kinda started acting weird and kept saying "you don't have to go" and I told him no your mom keeps telling me she wants me there so i will. Is this a red flag of some sort. I just find it weird that I'm about to have his baby but he doesn't want me going to family events. He doesn't even want his family going to the baby shower my sister is throwing me. Has anyone else had any similar experiences. Am I over thinking this? Is this Normal?

And I know 29 weeks pregnant and you haven't even been together for a full year? Please no judgement.